讲解图中的题目---Here is the extracted content from the image: **Section Title:** 四、解答题 (Four, Problem Solving Questions) **Question Stem (Question 6):** 如图: 长方形 ABCD 的面积是 180 平方分米, 三角形 DOE 的面积是 22.5 平方分米, DO=7.5 分米。 求: ① CE 的长度: ② 三角形 AOD 的面积。 *(Translation: As shown in the figure: The area of rectangle ABCD is 180 square decimeters, the area of triangle DOE is 22.5 square decimeters, DO=7.5 decimeters. Find: ① The length of CE: ② The area of triangle AOD.)* **Chart/Diagram Description:** * **Type:** Geometric figure. * **Main Elements:** * A rectangle ABCD is depicted, with vertices labeled A (top-left), B (bottom-left), C (bottom-right), and D (top-right). * Point E is located on the extension of line segment BC, such that C is between B and E. * Point O is the intersection of line segment AE and line segment CD. * Line segments AB, BC, CD, DA form the sides of the rectangle. * Line segment AE is drawn, passing through O. * Line segment DE is drawn. * **Labels and Annotations:** * The value "180" is annotated near the center of the rectangle ABCD, indicating its area is 180 square decimeters. * The value "22.5" is annotated within triangle DOE, indicating its area is 22.5 square decimeters. * The value "7.5" is annotated next to line segment DO, indicating its length is 7.5 decimeters. * All vertices (A, B, C, D, E) and point O are clearly labeled. * **Relative Position and Direction:** * ABCD forms a quadrilateral with right angles at each vertex, characteristic of a rectangle. * AB is parallel to CD, and AD is parallel to BC. * Point O lies on the side CD. * Point E lies to the right of C along the line containing BC. * Line segment AE connects A to E and passes through O. **Provided Solution/Working for Part ①:** ① 22.5 × 2 ÷ 7.5 = 45 ÷ 7.5 = 6 (dm) 答: CE 的长度是 6 dm. *(Translation of answer: Answer: The length of CE is 6 dm.)* **Other Text:** 24 (This appears to be a page number.)

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